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Finding the Fourth Proportional to 4,034.31, 6,043.41 and 1,948.15

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Solution

The fourth proportional to 4,034.31, 6,043.41 and 1,948.15 is: 2,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,034.31 : 6,043.41 = 1,948.15 : x
  2. Step 2: Convert to fraction form
    4,034.31/6,043.41 = 1,948.15/x
  3. Step 3: Cross multiply
    4,034.31x = 6,043.41 × 1,948.15
  4. Step 4: Simplify right side
    4,034.31x = 11,773,476.75
  5. Step 5: Solve for x
    x = 11,773,476.75/4,034.31
  6. Step 6: Final answer
    x = 2,918.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.